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The PCHIP subdivision scheme
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DOI：10.1016/j.amc.2015.07.071.png)
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Abstract
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In this paper we propose and analyze a nonlinear subdivision scheme based on the monotononicity-preserving third order Hermite-type interpolatory technique implemented in the PCHIP package in Matlab. We prove the convergence and the stability of the PCHIP nonlinear subdivision process by employing a novel technique based on the study of the generalized jacobian of the first difference scheme. (C) 2015 Elsevier Inc. All rights reserved.
Keywords:
Nonlinear subdivision schemes
Convergence
Stability
Approximation order
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